Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 1343344363] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m267 geometric_solution 4.28549930 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 3 0132 0132 2103 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.809579823829 0.792484980403 0 1 1 2 0132 1230 3012 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813567517453 1.090572429531 0 0 3 1 2103 0132 1302 0213 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369216874000 0.617463699728 2 4 0 4 2031 0132 0132 2310 0 0 0 0 0 0 -1 1 1 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935000347250 0.417799190373 3 3 4 4 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555857138712 0.243617146059 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0110_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_0101_4^2 - 2*c_0101_4 + 6, c_0011_0 - 1, c_0011_3 + c_0101_4^2 - 1, c_0101_1 - c_0101_4, c_0101_4^3 + c_0101_4^2 - 2*c_0101_4 - 1, c_0110_4 + 1 ], Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_1, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 118/17*c_0110_4^8 + 390/17*c_0110_4^7 - 5*c_0110_4^6 - 287/17*c_0110_4^5 + 30*c_0110_4^4 - 149/17*c_0110_4^3 + 163/17*c_0110_4^2 - 256/17*c_0110_4 + 181/17, c_0011_0 - 1, c_0011_3 - 21/17*c_0110_4^8 + 72/17*c_0110_4^7 - c_0110_4^6 - 59/17*c_0110_4^5 + 4*c_0110_4^4 - 33/17*c_0110_4^3 + 28/17*c_0110_4^2 - 64/17*c_0110_4 + 24/17, c_0101_1 - 8/17*c_0110_4^8 + 42/17*c_0110_4^7 - 3*c_0110_4^6 - 33/17*c_0110_4^5 + 5*c_0110_4^4 - 49/17*c_0110_4^3 + 5/17*c_0110_4^2 - 26/17*c_0110_4 + 31/17, c_0101_4 + 43/17*c_0110_4^8 - 145/17*c_0110_4^7 + 2*c_0110_4^6 + 120/17*c_0110_4^5 - 11*c_0110_4^4 + 53/17*c_0110_4^3 - 29/17*c_0110_4^2 + 93/17*c_0110_4 - 54/17, c_0110_4^9 - 4*c_0110_4^8 + 3*c_0110_4^7 + 2*c_0110_4^6 - 6*c_0110_4^5 + 4*c_0110_4^4 - 2*c_0110_4^3 + 3*c_0110_4^2 - 3*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB